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fixed link to ICM proceedings, added title to paper by Hodge + formatted citation
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András Bátkai
András Bátkai
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The best answer I can imagine for a question like this is to quote the man himself: "The second result of Lefschetz tells us that a necessary and sufficient condition that a 2-cycle $\Gamma_2$ in $V_2$ be algebraic... This result has many geometrical applications... It is clearly a matter of great importance to extend Lefschetz's condition for a 2-cycle to be algebraic. The general problem is as follows...."

See "The topological invariants of algebraic varieties" by Hodge on page page 184 of the Proceedings of the ICM 1950 for the full statement:

Hodge, W. V. D., The topological invariants of algebraic varieties, Proc. Intern. Congr. Math. (Cambridge, Mass., Aug. 30-Sept. 6, 1950) 1, 182-192 (1952). ZBL0048.41701.

The best answer I can imagine for a question like this is to quote the man himself: "The second result of Lefschetz tells us that a necessary and sufficient condition that a 2-cycle $\Gamma_2$ in $V_2$ be algebraic... This result has many geometrical applications... It is clearly a matter of great importance to extend Lefschetz's condition for a 2-cycle to be algebraic. The general problem is as follows...."

See "The topological invariants of algebraic varieties" by Hodge on page 184 of the Proceedings of the ICM 1950 for the full statement.

The best answer I can imagine for a question like this is to quote the man himself: "The second result of Lefschetz tells us that a necessary and sufficient condition that a 2-cycle $\Gamma_2$ in $V_2$ be algebraic... This result has many geometrical applications... It is clearly a matter of great importance to extend Lefschetz's condition for a 2-cycle to be algebraic. The general problem is as follows...."

See page 184 of the Proceedings of the ICM 1950 for the full statement:

Hodge, W. V. D., The topological invariants of algebraic varieties, Proc. Intern. Congr. Math. (Cambridge, Mass., Aug. 30-Sept. 6, 1950) 1, 182-192 (1952). ZBL0048.41701.

fixed link to ICM proceedings, added title to paper by Hodge
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edit approved Jul 12, 2020 at 6:36
Harry Richman
edit approved Jul 12, 2020 at 6:36
Harry Richman
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The best answer I can imagine for a question like this is to quote the man himself: "The second result of Lefschetz tells us that a necessary and sufficient condition that a 2-cycle $\Gamma_2$ in $V_2$ be algebraic... This result has many geometrical applications... It is clearly a matter of great importance to extend Lefschetz's condition for a 2-cycle to be algebraic. The general problem is as follows...."

See page"The topological invariants of algebraic varieties" by Hodge on page 184 of http://www.mathunion.org/ICM/ICM1950.1/Main/icm1950.1.0182.0192.ocr.pdfthe Proceedings of the ICM 1950 for the full statement.

The best answer I can imagine for a question like this is to quote the man himself: "The second result of Lefschetz tells us that a necessary and sufficient condition that a 2-cycle $\Gamma_2$ in $V_2$ be algebraic... This result has many geometrical applications... It is clearly a matter of great importance to extend Lefschetz's condition for a 2-cycle to be algebraic. The general problem is as follows...."

See page 184 of http://www.mathunion.org/ICM/ICM1950.1/Main/icm1950.1.0182.0192.ocr.pdf for the full statement.

The best answer I can imagine for a question like this is to quote the man himself: "The second result of Lefschetz tells us that a necessary and sufficient condition that a 2-cycle $\Gamma_2$ in $V_2$ be algebraic... This result has many geometrical applications... It is clearly a matter of great importance to extend Lefschetz's condition for a 2-cycle to be algebraic. The general problem is as follows...."

See "The topological invariants of algebraic varieties" by Hodge on page 184 of the Proceedings of the ICM 1950 for the full statement.

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Donu Arapura
Donu Arapura
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The best answer I can imagine for a question like this is to quote the man himself: "The second result of Lefschetz tells us that a necessary and sufficient condition that a 2-cycle $\Gamma_2$ in $V_2$ be algebraic... This result has many geometrical applications... It is clearly a matter of great importance to extend Lefschetz's condition for a 2-cycle to be algebraic. The general problem is as follows...."

See page 184 of http://www.mathunion.org/ICM/ICM1950.1/Main/icm1950.1.0182.0192.ocr.pdf for the full statement.